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Finding the Fourth Proportional to 559.14, 771.63 and 310.46

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Solution

The fourth proportional to 559.14, 771.63 and 310.46 is: 428.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.14 : 771.63 = 310.46 : x
  2. Step 2: Convert to fraction form
    559.14/771.63 = 310.46/x
  3. Step 3: Cross multiply
    559.14x = 771.63 × 310.46
  4. Step 4: Simplify right side
    559.14x = 239,560.02
  5. Step 5: Solve for x
    x = 239,560.02/559.14
  6. Step 6: Final answer
    x = 428.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.